The usual treatment for HCV in people who are not HIV-infected is interferon-alfa (IFN) with ribavirin (RBV), an approved treatment by the Food and Drug Administration (FDA). This study will use a new, longer acting form of IFN called PEG-IFN alfa-2b. PEG-IFN alfa-2b is approved by the FDA for use in treating HCV but has not yet been approved for use with RBV. This study also will use IL-2, which is a substance that the body naturally produces. People with HIV infection usually do not make enough IL-2. IL-2 is being tested in this study to see if it will "boost" the immune system's response to HCV. The FDA has approved IL-2 for the treatment of some cancers.